Approximate ODE models for population balance systems. (4th March 2015)

• Record Type: Journal Article
• Authors: Bajcinca, N.; Hofmann, S.; Bielievtsov, D.; Sundmacher, K.
• Is Part Of: Computers & chemical engineering. Volume 74(2015)
• Page Start: 158
• Page End: 168
• Publication Date: 2015-03-04
• Subjects: Method of moments -- Population balance equation -- Least-square approximation -- Method of characteristics; Chemical engineering -- Data processing -- Periodicals; 660.0285
• DOI: 10.1016/j.compchemeng.2014.12.015
• Languages: English
• ISSNs: 0098-1354

Abstract

Abstract : Highlights: An extension of the method of moments covering a wide class of PBEs. Model design for model-based control and optimization of PBEs. The class of PBEs involving size-dependent growth rate and fines removal term. Investigation of the impact of multiple precision computation. Comparison to a scheme based on method of characteristics in various case-studies. Abstract: We propose an approximate polynomial method of moments for a class of first-order linear PDEs (partial differential equations) of hyperbolic type, involving a filtering term with applications to population balance systems with fines removal terms. The resulting closed system of ODEs (ordinary differential equations) represents an extension to a recently published method of moments which utilizes least-square approximations of factors of the PDE over orthogonal polynomial bases. An extensive numerical analysis has been carried out for proof-of-concept purposes. The proposed modeling scheme is generally of interest for control and optimization of processes with distributed parameters.